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Finding the Fourth Proportional to 2,005.65, 2,767.68 and 1,342.40

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Solution

The fourth proportional to 2,005.65, 2,767.68 and 1,342.40 is: 1,852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.65 : 2,767.68 = 1,342.40 : x
  2. Step 2: Convert to fraction form
    2,005.65/2,767.68 = 1,342.40/x
  3. Step 3: Cross multiply
    2,005.65x = 2,767.68 × 1,342.40
  4. Step 4: Simplify right side
    2,005.65x = 3,715,319.79
  5. Step 5: Solve for x
    x = 3,715,319.79/2,005.65
  6. Step 6: Final answer
    x = 1,852.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.